Euclid. # A text-book of Euclid's Elements : for the use of schools : Books I-VI and XI online

. **(page 27 of 27)**

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may form a regular hexagon.

27. Shew that every section of sphere by a plane is a circle.

28. Find in terms of the length of an edge the radius of a sphere

inscribed in a regular tetrahedron.

29. Find the locus of points in a given plane at which a straight

line of fixed length and position subtends a right angle.

30. A fixed point O is joined to any point P in a given plane

which does not contain O; on OP a point Q. is taken such that the

rectangle OP, OQ is constant: shew that Q lies on a fixed sphere.

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RETURN TO DESK FROM WHICH BORROWED

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JAN 7 1062

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27. Shew that every section of sphere by a plane is a circle.

28. Find in terms of the length of an edge the radius of a sphere

inscribed in a regular tetrahedron.

29. Find the locus of points in a given plane at which a straight

line of fixed length and position subtends a right angle.

30. A fixed point O is joined to any point P in a given plane

which does not contain O; on OP a point Q. is taken such that the

rectangle OP, OQ is constant: shew that Q lies on a fixed sphere.

;iJHI7EESlTrl

^^.

.Â« â€¢â€¢ .

14 DAY USE

RETURN TO DESK FROM WHICH BORROWED

This book is due on the last date stamped below, or

on the date to which renewed.

Renewed books are subjea to immediate recall.

if \ l:^ v^ ' tÂ«^ â€” iâ€” L ^

JAN 7 1062

General Library

University of California

w^

'T^w^^

&

â€¢ â€¢â€¢â€¢ M

.*' 'fm

â€¢â– ^â€¢^^>Â«w

U.C. BERKELEY LIBRARIES

CDDbVbisaa

.?i',i-#-#..^w

â€¢>*

^;^i!..-/^-Â«^^*^Â«Li*i

Online Library → Euclid → A text-book of Euclid's Elements : for the use of schools : Books I-VI and XI → online text (page 27 of 27)